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A war-wolf , or trebuchet , is a device used during the Mid- dle Ages to throw r

ID: 1273176 • Letter: A

Question

A war-wolf, or trebuchet, is a device used during the Mid- dle Ages to throw rocks at castles and now sometimes used to fling pumpkins and pianos. A simple trebuchet is shown in Figure P8.83. Model it as a stiff rod of neg- ligible mass 3.00 m long and joining particles of mass m1 50.120kgandm2 560.0kgatitsends.Itcanturn on a frictionless horizontal axle perpendicular to the rod and 14.0 cm from the particle of larger mass. The rod is released from rest in a horizontal orientation. Find the maximum speed that the object of smaller mass attains.

Explanation / Answer

when they are at horizontal orientation then its energy

Ei = 0+0 =0 J

when larger mass is released then it comes down and the whole rod is perpendicular and smaller mass object will attain some velocity. And the level it comes down is 0.14cm

so energy at this point is

Ef = -560*9.8*0.14+0.5*50.12*V2

Ef =Ei

so -560*9.8*0.14+0.5*50.12*V2 =0

0.5*50.12*V2 = 560*9.8*0.14 =786.32

so V = 5.54 m/s

so maximum speed attain by smaller mass is 5.54 m/s

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